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The closure properties on real numbers under limits and computable operators.

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Publication:1607302
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DOI10.1016/S0304-3975(01)00107-4zbMath1039.03035MaRDI QIDQ1607302

Zheng, Xizhong

Publication date: 31 July 2002

Published in: Theoretical Computer Science (Search for Journal in Brave)


zbMATH Keywords

Closure propertiesComputable real functionsWeakly computable reals


Mathematics Subject Classification ID

Theory of numerations, effectively presented structures (03D45)


Related Items (1)

On the hierarchy and extension of monotonically computable real numbers.




Cites Work

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  • Reducibilities on real numbers
  • Cohesive sets and recursively enumerable Dedekind cuts
  • Randomness and Recursive Enumerability
  • On the definitions of computable real continuous functions
  • A Theory of Program Size Formally Identical to Information Theory
  • Recursion Theory and Dedekind Cuts
  • Nicht konstruktiv beweisbare Sätze der Analysis
  • Weakly computable real numbers




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